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Finding the Fourth Proportional to 2,539.87, 3,505.08 and 1,420.78

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Solution

The fourth proportional to 2,539.87, 3,505.08 and 1,420.78 is: 1,960.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,539.87 : 3,505.08 = 1,420.78 : x
  2. Step 2: Convert to fraction form
    2,539.87/3,505.08 = 1,420.78/x
  3. Step 3: Cross multiply
    2,539.87x = 3,505.08 × 1,420.78
  4. Step 4: Simplify right side
    2,539.87x = 4,979,947.56
  5. Step 5: Solve for x
    x = 4,979,947.56/2,539.87
  6. Step 6: Final answer
    x = 1,960.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.